3952247040 has 864 divisors, whose sum is σ = 17536538880. Its totient is φ = 822804480.

The previous prime is 3952246999. The next prime is 3952247041. The reversal of 3952247040 is 407422593.

3952247040 is a `hidden beast` number, since 395 + 224 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3952246986 and 3952247004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952247041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127491825 + ... + 127491855.

It is an arithmetic number, because the mean of its divisors is an integer number (20296920).

Almost surely, 2^3952247040 is an apocalyptic number.

3952247040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3952247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768269440).

3952247040 is an abundant number, since it is smaller than the sum of its proper divisors (13584291840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3952247040 is a wasteful number, since it uses less digits than its factorization.

3952247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3952247040 is about 62866.8993986502. The cubic root of 3952247040 is about 1581.0588213409.

The spelling of 3952247040 in words is "three billion, nine hundred fifty-two million, two hundred forty-seven thousand, forty".